Question

Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10 .(1 point)

Responses

12a+10
12 A plus 10

10a +12
10 A plus 12

10a +22
10 A plus 22

9a +12

Answer 1

[AI-generated answer — Bot GPT 3.5]

None of the given responses are correct.

To apply the associative property, we can group the terms within each set of parentheses:
2(a+5) = 2a + 10
4(2a+3) = 8a + 12

Now, we can combine the like terms:
2a + 10 + 8a + 12 - 10

Next, we can use the commutative property to rearrange the terms:
(2a + 8a) + (10 + 12) - 10

Combining like terms again:
10a + 22 - 10

Simplifying:
10a + 12

So, the correct expression equivalent to 2(a+5)+4(2a+3)-10 is 10a + 12.